Answer :

Let the required angle be x°.

So, it supplement = (180 – x)°

Now, x = 180 – x

Or, x + x = 180

Or, 2x = 180°

Or x=180°/2=90°

Thus, the required angle is 90°.

- Q.1 Find the complement of each of the following angles:
- Q.2 Find the supplement of each of the following angles:
- Q.3 Identify which of the following pairs of angles are complementary and which are supplementary? (i) 65°, 115° (ii) 63°, 27° (iii) 112°, 68° (iv) 130°, 50° (v) 45°, 45° (vi) 80°, 10°
- Q.4 Find the angle which equal to its complement.
- Q.6 In the given figure, \(\angle \) 1 and \(\angle \)2 are supplementary angles. If \(\angle \) 1 is decreased, what changes should take place in \(\angle \) 2 so that both the angles still remain
- Q.7 Can two angles be supplementary if both of them are: (i) acute? (ii) obtuse? (iii) right?
- Q.8 An angle is greater than 45°. Is its complementary angle greater than 45° or equal to 45° or less than 45 °?
- Q.9 In the following figure: (i) Is \(\angle \)1 adjacent to angle 2? (ii) Is \(\angle \)AOC adjacent to angle AOE? (iii) Do \(\angle \) COE and \(\angle \) EOD form a linear pair? (iv) Are \(\angle \) BOD and \(\angle \) DOA supplementary? (v) Is \(\angle \) 1 vertically opposite angle to angle 4? (vi) What is the vertically opposite angle of \(\angle \) 5?
- Q.10 Indicate which pairs of angles are: (i) Vertically opposite angles (ii) Linear pairs
- Q.11 In the following figure, is \(\angle \)1 adjacent to \(\angle \)2? Give reasons.
- Q.12 Find the values of the angles x, y and z in each of the following: (i) (ii)
- Q.13 Fill in the blanks: (i) If two angles are complementary, then the sum of their measures is ______ . (ii) If two angles are supplementary, then the sum of their measures is ______ . (iii) Two angles forming a linear pair are ______ . (iv) If two adjacent angles are supplementary, they form a ______ . (v) If two lines intersect at a point, then the vertically opposite angles are always ______ . (vi) If two lines intersect at a point, and if one pair of vertically opposite angles are acute angles, then the other pair of vertically opposite angles are ______ .
- Q.14 In the given figure, name the following pairs of angles. (i) Obtuse vertically opposite angles. (ii) Adjacent complementary angles. (iii) Equal supplementary angles. (iv) Unequal supplementary angles. (v) Adjacent angles but do not form a linear pair.

- NCERT solutions for class 7 maths chapter 1 Integers
- NCERT solutions for class 7 maths chapter 2 Fractions and Decimals
- NCERT solutions for class 7 maths chapter 3 Data Handling
- NCERT solutions for class 7 maths chapter 4 Simple Equations
- NCERT solutions for class 7 maths chapter 5 Lines and Angles
- NCERT solutions for class 7 maths chapter 6 The Triangle and its Properties
- NCERT solutions for class 7 maths chapter 7 Congruence of Triangles
- NCERT solutions for class 7 maths chapter 8 Comparing Quantities
- NCERT solutions for class 7 maths chapter 9 Rational Numbers
- NCERT solutions for class 7 maths chapter 10 Practical Geometry
- NCERT solutions for class 7 maths chapter 11 Perimeter and Area
- NCERT solutions for class 7 maths chapter 12 Algebraic Expressions
- NCERT solutions for class 7 maths chapter 13 Exponents and Powers
- NCERT solutions for class 7 maths chapter 14 Symmetry
- NCERT solutions for class 7 maths chapter 15 Visualising Solid Shapes

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- NCERT solutions for class 7 science chapter 2 Nutrition In Animals
- NCERT solutions for class 7 science chapter 3 Fibre to Fabric
- NCERT solutions for class 7 science chapter 4 Heat
- NCERT solutions for class 7 science chapter 5 Acids Bases and Salts
- NCERT solutions for class 7 science chapter 6 Physical and Chemical Changes
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- NCERT solutions for class 7 science chapter 8 Winds, Storms and Cyclones
- NCERT solutions for class 7 science chapter 9 soil
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- NCERT solutions for class 7 science chapter 13 Motion and Time
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- NCERT solutions for class 7 science chapter 15 Light
- NCERT solutions for class 7 science chapter 16 Water: A Precious Resource
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- NCERT solutions for class 7 science chapter 18 Waste Water Story